Local theta correspondence for small unitary groups

DOI10.1090/S0002-9947-05-03874-2zbMath1080.22009OpenAlexW1561096235MaRDI QIDQ5714394

Shu-Yen Pan

Publication date: 2 January 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03874-2

zbMATH Keywords

unitary groupsWeil representationsupercuspidal representationstheta correspondenceHowe correspondence

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (1)

Supercuspidal representations and preservation principle of theta correspondence

Cites Work

• Unnamed Item
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• The dual pair (U(3),U(1)) over a p-adic field
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• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Splitting metaplectic covers of dual reductive pairs
• Local theta correspondence of depth zero representations and theta dichotomy.
• Local theta correspondence and minimal \(K\)-types of positive depth
• Depth preservation in local theta correspondence
• Splittings of the metaplectic covers of some reductive dual pairs.
• Jacquet functors and unrefined minimal \(K\)-types
• Eigenfunctions of the Weil representation of unitary groups of one variable
• On an Explicit Construction of a Certain Class of Automorphic Forms
• Theta dichotomy for unitary groups

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